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- Title
A Note on Permutation Tests for Variance Components in Multilevel Generalized Linear Mixed Models.
- Authors
Fitzmaurice, Garrett M.; Lipsitz, Stuart R.; Ibrahim, Joseph G.
- Abstract
In many applications of generalized linear mixed models to multilevel data, it is of interest to test whether a random effects variance component is zero. It is well known that the usual asymptotic chi-square distribution of the likelihood ratio and score statistics under the null does not necessarily hold. In this note we propose a permutation test, based on randomly permuting the indices associated with a given level of the model, that has the correct Type I error rate under the null. Results from a simulation study suggest that it is more powerful than tests based on mixtures of chi-square distributions. The proposed test is illustrated using data on the familial aggregation of sleep disturbance.
- Subjects
PERMUTATIONS; MULTILEVEL models; GENERALIZABILITY theory; CHI-squared test; ANALYSIS of variance
- Publication
Biometrics, 2007, Vol 63, Issue 3, p942
- ISSN
0006-341X
- Publication type
Article
- DOI
10.1111/j.1541-0420.2007.00775.x